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Finding the Fourth Proportional to 280,300.23, 420,200.33 and 102,765.83

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Solution

The fourth proportional to 280,300.23, 420,200.33 and 102,765.83 is: 154,057.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,300.23 : 420,200.33 = 102,765.83 : x
  2. Step 2: Convert to fraction form
    280,300.23/420,200.33 = 102,765.83/x
  3. Step 3: Cross multiply
    280,300.23x = 420,200.33 × 102,765.83
  4. Step 4: Simplify right side
    280,300.23x = 43,182,233,063.89
  5. Step 5: Solve for x
    x = 43,182,233,063.89/280,300.23
  6. Step 6: Final answer
    x = 154,057.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.